(α, β)-cuts and inverse (α, β)-cuts in bipolar fuzzy soft sets

Authors : Orhan DALKILIÇ

Pages : 582-599

Doi:10.31801/cfsuasmas.770623

View : 14 | Download : 13

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :Bipolar fuzzy soft set theory, which is a very useful hybrid set in decision making problems, is a mathematical model that has been emphasized especially recently. In this paper, the concepts of insert ignore into journalissuearticles values(α,β);-cuts, first type semi-strong insert ignore into journalissuearticles values(α,β);-cuts, second type semi-strong insert ignore into journalissuearticles values(α,β);-cuts, strong insert ignore into journalissuearticles values(α,β);-cuts, inverse insert ignore into journalissuearticles values(α,β);-cuts, first type semi-weak inverse insert ignore into journalissuearticles values(α,β);-cuts, second type semi-weak inverse insert ignore into journalissuearticles values(α,β);-cuts and weak inverse insert ignore into journalissuearticles values(α,β);-cuts of bipolar fuzzy soft sets were introduced together with some of their properties. In addition, some distinctive properties between insert ignore into journalissuearticles values(α,β);-cuts and inverse insert ignore into journalissuearticles values(α,β);-cuts were established. Moreover, some related theorems were formulated and proved. It is further demonstrated that both insert ignore into journalissuearticles values(α,β);-cuts and inverse insert ignore into journalissuearticles values(α,β);-cuts of bipolar fuzzy soft sets were useful tools in decision making.
Keywords : Bipolar soft set, bipolar fuzzy soft set α, β, cut, inverse α, β, cut